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Finding the Third Proportional to 114,476 and 239,401

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Solution

The third proportional to 114,476 and 239,401 is: 500,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,476 : 239,401 = 239,401 : x
  2. Step 2: Convert to fraction form
    114,476/239,401 = 239,401/x
  3. Step 3: Cross multiply
    114,476x = 239,401 × 239,401
  4. Step 4: Simplify right side
    114,476x = 57,312,838,801
  5. Step 5: Solve for x
    x = 57,312,838,801/114,476
  6. Step 6: Final answer
    x = 500,653.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.